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1. # ProgramNew Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems

Organizers: Kay Kirkpatrick (University of Illinois at Urbana-Champaign), Yvan Martel (École Polytechnique), Jonathan Mattingly (Duke University), Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Universite de Nice Sophia-Antipolis), Luc Rey-Bellet (University of Massachusetts, Amherst), LEAD Gigliola Staffilani (Massachusetts Institute of Technology), Daniel Tataru (University of California, Berkeley)

The fundamental aim of this program is to bring together a core group of mathematicians from the general communities of nonlinear dispersive and stochastic partial differential equations whose research contains an underlying and unifying problem: quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and non-deterministic evolution differential equations, or dynamical evolution of large physical systems, and in various regimes.

In recent years there has been spectacular progress within both communities in the understanding of this common problem. The main efforts exercised, so far mostly in parallel, have generated an incredible number of deep results, that are not just beautiful mathematically, but are  also important to understand the complex natural phenomena around us.  Yet, many open questions and challenges remain ahead of us. Hosting the proposed program at MSRI would be the most effective venue to explore the specific questions at the core of the unifying theme and to have a focused and open exchange of ideas, connections and mathematical tools leading to potential new paradigms.  This special program will undoubtedly produce new and fundamental results in both areas, and possibly be the start of a new generation of researchers comfortable on both languages.

Updated on Aug 19, 2015 01:30 PM PDT
2. # ProgramComplementary Program

Updated on Jan 26, 2015 04:20 PM PST
3. # SeminarUCB Commutative Algebra and Algebraic Geometry: Syzygies for Beginners

Created on Aug 28, 2015 05:28 PM PDT
4. # SeminarUCB Probability Seminar: Weak Concentration for First Passage Percolation Times on Graphs and General Increasing Set-valued Processes

Updated on Aug 28, 2015 05:23 PM PDT
5. # SeminarResearch Seminar: An approach to Nonlinear Evolution Equations via modified energy estimates

Updated on Aug 27, 2015 01:50 PM PDT
1. # SeminarGraduate Student Lunch Seminar

Updated on Aug 28, 2015 03:58 PM PDT
2. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Updated on Aug 27, 2015 02:03 PM PDT
3. # SeminarUCB Student PDE Seminar: Reaction-Diffusion and Propagation in Non-Homogeneous Media II

Updated on Aug 28, 2015 05:19 PM PDT
4. # SeminarUCB Student PDE Seminar: The duality of optimal control and linear stochastic filtering I

Updated on Aug 28, 2015 05:21 PM PDT
5. # SeminarPostdoc Symposium (Part I) - Initial and boundary value problems for the deterministic and stochastic Zakharov-Kuznetsov equation in a bounded domain

Created on Aug 28, 2015 02:31 PM PDT
6. # SeminarPostdoc Symposium (Part II) - Small Divisors and the NLSE

Created on Aug 28, 2015 02:33 PM PDT
7. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:38 PM PDT
8. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:40 PM PDT
9. # SeminarUCB Mathematics Department Colloquium: Bose-Einstein condensation: from many quantum particles to a quantum "superparticle" Colloquium

Created on Sep 01, 2015 04:13 PM PDT
10. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:41 PM PDT
11. # SeminarUCB Mathematics Department Colloquium: Curve counting on Abelian varieties, modular forms, and the combinatorics of box counting

Created on Sep 01, 2015 04:19 PM PDT
12. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:43 PM PDT
13. # WorkshopLecture Mini-Series with Dr. Edward Frenkel

Organizers: Edward Frenkel (University of California, Berkeley)

Updated on Aug 31, 2015 01:08 PM PDT
14. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:46 PM PDT
15. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:21 PM PDT
16. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:48 PM PDT
17. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:23 PM PDT
18. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Created on Aug 28, 2015 02:50 PM PDT
19. # WorkshopTheory of Neural Computation

Organizers: Dmitri Chklovskii (Simons Foundation), David Eisenbud (MSRI - Mathematical Sciences Research Institute), Gary Marcus (New York University), LEAD Bruno Olshausen (University of California, Berkeley), Christos Papadimitriou (University of California, Berkeley), Terrence Sejnowski (Salk Institute for Biological Studies), Fritz Sommer (University of California, Berkeley)

The theme of this workshop is on bringing theory into the study of neural networks---those in brains and those in machines.  We will soon have the capability to monitor activity and structure in the brain at unprecedented scales, but what will these data tell us?  It is unlikely that we will gain insight without some theoretical framework to guide our thinking of what to look for, and why.  Similarly, neural network models can now perform feats of language translation and pattern recognition far beyond what was possible a few years ago; but they have yet to shed new light on neurobiological mechanisms in part because there is only a limited theory of such computations.

What are likely candidates for such theories? Do they already exist? And what is needed to more tightly integrate theoretical frameworks with empirical approaches?

Updated on Aug 31, 2015 12:14 PM PDT
20. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:27 PM PDT
21. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:30 PM PDT
22. # WorkshopNew challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems

Organizers: Jonathan Mattingly (Duke University), LEAD Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Universite de Nice Sophia-Antipolis), Luc Rey-Bellet (University of Massachusetts, Amherst), Daniel Tataru (University of California, Berkeley)

This workshop serves to bring into focus the fundamental aim of the jumbo program by both a)  showcasing the spectacular progress in recent years in the study of both nonlinear dispersive as well as stochastic partial differential equations and b) bringing to the fore the key challenges for the future in quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and non-deterministic evolution differential equations, or dynamical evolution of large physical systems.

During the two weeks long workshop, we intertwine talks on a wide array of topics by some of the key researchers in both communities and aim at highlighting the most salient ideas, proofs and questions which are important and fertile for cross-pollination’ between PDE and SPDE. Topics include:  Global dynamics and singularity formation for geometric and physical nonlinear wave and dispersive models (critical and supercritical regimes); dynamics of infinite dimensional systems (critical phenomena, multi scale dynamics and metastability); symplectic structures of infinite dimensional dynamical systems; randomization and long time dynamics, invariant Gibbs and weighted Wiener measures; derivation of effective dynamics in quantum systems; weak turbulence phenomena; optimization and learning algorithms: distributed, stochastic and parallel.

Updated on Aug 20, 2015 09:09 AM PDT
23. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:32 PM PDT
24. # WorkshopModern Math Workshop 2015

Organizers: LEAD Hélène Barcelo (MSRI - Mathematical Sciences Research Institute), Helen Chamberlin (MBI - Mathematical Biosciences Institute), Ricardo Cortez (Tulane University), Sujit Ghosh (SAMSI - Statistical and Applied Mathematical Sciences Institute), Dagan Karp (Harvey Mudd College), Anne Pfister (MSRI - Mathematical Sciences Research Institute), Christian Ratsch (IPAM - Institute for Pure and Applied Mathematics), Ivelisse M. Rubio (University of Puerto Rico), Mariel Vazquez (University of California, Davis), Talithia Williams (Harvey Mudd College)

As part of the Mathematical Sciences Collaborative Diversity Initiatives, nine mathematics institutes are pleased to host their annual SACNAS pre-conference event, the 2015 Modern Math Workshop (MMW). The Modern Math Workshop is intended to encourage minority undergraduates to pursue careers in the mathematical sciences and to assist undergraduates, graduate students and recent PhD’s in building their research networks.

Updated on Aug 18, 2015 04:34 PM PDT
25. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:34 PM PDT
26. # WorkshopWorkshop on Combinatorial Games, in honor of Elwyn Berlekamp's 75th Birthday

Organizers: David Eisenbud (MSRI - Mathematical Sciences Research Institute), LEAD Richard Guy (University of Calgary), Thane Plambeck (Counterwave, Inc.), Aaron Siegel (Twitter, Inc.)

A two-day workshop with research-level talks on combinatorial game theory, one of the fields to which Elwyn Berlekamp has made enormous contributions.

Updated on Jul 22, 2015 06:16 PM PDT
27. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:35 PM PDT
28. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:36 PM PDT
29. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:38 PM PDT
30. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:41 PM PDT
31. # SeminarUCB Mathematics Department Colloquium

Created on Sep 01, 2015 04:43 PM PDT
32. # ProgramDifferential Geometry

Organizers: Tobias Colding (Massachusetts Institute of Technology), Simon Donaldson (Imperial College, London), John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of Wisconsin-Madison)

Differential geometry is a subject with both deep roots and recent advances. Many old problems in the field have recently been solved, such as the Poincaré and geometrization conjectures by Perelman, the quarter pinching conjecture by Brendle-Schoen, the Lawson Conjecture by Brendle, and the Willmore Conjecture by Marques-Neves. The solutions of these problems have introduced a wealth of new techniques into the field. This semester-long program will focus on the following main themes:
(1) Einstein metrics and generalizations,
(2) Complex differential geometry,
(3) Spaces with curvature bounded from below,
(4) Geometric flows,
and particularly on the deep connections between these areas.

Updated on Apr 21, 2015 03:40 PM PDT
33. # WorkshopConnections for Women: Differential Geometry

Organizers: Christine Breiner (Fordham University), LEAD Natasa Sesum (Rutgers University)

The purpose of this meeting is to help junior female researchers to become familiar with the focus topics of the main MSRI program, and also for the junior researchers to have an opportunity to get acquainted with more senior women researchers in differential geometry.

This workshop is open to all mathematicians.

Updated on Apr 17, 2015 12:32 PM PDT
34. # WorkshopIntroductory Workshop: Modern Riemannian Geometry

Organizers: LEAD Tobias Colding (Massachusetts Institute of Technology), John Lott (University of California, Berkeley), Jeff Viaclovsky (University of Wisconsin-Madison)

The week will be devoted to an introduction to modern techniques in Riemannian geometry. This is intended to help graduate students and younger researchers get a headstart, in order to increase their participation during the main semester programs and research lectures. To increase outreach, the week will focus on Riemannian geometry and should be largely accessible. Some minicourses on topics of recent interest will be included. The workshop will also have semi-expository lectures dealing with aspects of spaces with curvature bounded from below, since such spaces will occur throughout the semester. We expect that many Berkeley mathematicians and students will participate in the introductory workshop.

Updated on Aug 25, 2015 05:05 PM PDT
35. # WorkshopKähler Geometry, Einstein Metrics, and Generalizations

Organizers: Olivier Biquard (École Normale Supérieure), Simon Donaldson (Imperial College, London), Gang Tian (Princeton University), LEAD Jeff Viaclovsky (University of Wisconsin-Madison)

The workshop will integrate elements from complex differential geometry with Einstein metrics and their generalizations. The topics will include

- Existence of Kähler-Einstein metrics and extremal Kähler metrics. Notions of stability in algebraic geometry such as Chow stability, K-stability, b-stability, and polytope stability. Kähler-Einstein metrics with conical singularities along a divisor.

- Calabi-Yau metrics and collapsed limit spaces. Connections with physics and mirror symmetry.

- Einstein metrics and their moduli spaces, ε-regularity, noncompact examples such as ALE, ALF, and Poincaré-Einstein metrics. Generalizations of the Einstein condition, such as Bach-flat metrics and Ricci solitons.

- Sasaki-Einstein metrics and metrics with special holonomy. New examples and classification problems.

Updated on Mar 05, 2015 10:53 AM PST
36. # WorkshopHot Topics: Cluster algebras and wall-crossing

Organizers: LEAD Mark Gross (University of California, San Diego), Paul Hacking, Sean Keel, Lauren Williams (University of California, Berkeley)

Cluster algebras were introduced in 2001 by Fomin and Zelevinsky to capture the combinatorics of canonical bases and total positivity in semisimple Lie groups. Since then they have revealed a rich combinatorial and group-theoretic structure, and have had significant impact beyond these initial subjects, including string theory, algebraic geometry, and mirror symmetry. Recently Gross, Hacking, Keel and Kontsevich released a preprint introducing mirror symmetry techniques into the subject which resolved several long-standing conjectures, including the construction of canonical bases for cluster algebras and positivity of the Laurent phenomenon. This preprint reformulates the basic construction of cluster algebras in terms of scattering diagrams (or wall-crossing structures). This leads to the proofs of the conjectures and to new constructions of elements of cluster algebras. But fundamentally they provide a new tool for thinking about cluster algebras.

The workshop will bring together many of the different users of cluster algebras to achieve a synthesis of these new techniques with many of the different aspects of the subject. There will be lecture series on the new techniques, and other lecture series on connections with Lie theory, quiver representation theory, mirror symmetry, string theory, and stability conditions.

Updated on Aug 06, 2015 08:56 AM PDT
37. # WorkshopGeometric Flows in Riemannian and Complex Geometry

Organizers: Tobias Colding (Massachusetts Institute of Technology), LEAD John Lott (University of California, Berkeley), Natasa Sesum (Rutgers University)

The workshop will concentrate on parabolic methods in both Riemannian and complex geometry. The topics will include

- Ricci flow. Analytic questions about Ricci flow in three dimensions. Possible applications of Ricci flow to 4-manifold topology. Ricci flow in higher dimensions under curvature assumptions.

- Kähler-Ricci Flow. Applications to the Kähler-Einstein problem. Connections to the minimal model program. Study of Kähler-Ricci solitons and limits of Kähler-Ricci flow.

- Mean curvature flow. Singularity analysis. Generic mean curvature flow.

- Other geometric flows such as Calabi flow and pluriclosed flow.

Updated on Jun 07, 2013 10:39 AM PDT
38. # Summer Graduate SchoolSeminaire de Mathematiques Superieures 2016: Dynamics of Biological Systems

Organizers: Thomas Hillen (University of Alberta), Mark Lewis (University of Alberta), Yingfei Yi (University of Alberta)

Updated on Feb 18, 2015 02:45 PM PST
39. # MSRI-UPMSRI-UP 2016: Sandpile Groups

Organizers: Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), LEAD Suzanne Weekes (Worcester Polytechnic Institute)

The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2016 program will be led by Prof. Luis Garcia-Puente of Sam Houston State University.

Updated on Sep 01, 2015 05:44 PM PDT
40. # Summer Graduate SchoolHarmonic Analysis and Elliptic Equations on real Euclidean Spaces and on Rough Sets

Organizers: LEAD Steven Hofmann (University of Missouri), Jose Maria Martell (Instituto de Ciencias Matematicas)

The goal of the workshop is to present harmonic analysis techniques in $R^n$ (the `flat" setting), and then to show how those techniques extend to much rougher settings, with application to the theory of elliptic equations. Thus, the subject matter of the workshop will introduce the students to an active, current research area:  the interface between harmonic analysis, elliptic PDE, and geometric measure theory.

Updated on Jul 31, 2015 09:00 PM PDT
41. # Summer Graduate SchoolMixed Integer Nonlinear Programming: Theory, algorithms and applications

Organizers: Franscisco Castro (Universidad de Sevilla), Elena Fernandez (Polytechnical University of Cataluña (Barcelona)), Justo Puerto (Universidad de Sevilla)

Updated on Feb 18, 2015 02:48 PM PST
42. # Summer Graduate SchoolAn Introduction to Character Theory and the McKay Conjecture

Organizers: Robert Guralnick (University of Southern California), Pham Tiep (University of Arizona)

Character Theory of Finite Groups provides one of the most powerful tools to study groups. In this course we will give a gentle introduction to basic results in the Character Theory, as well as some of the main conjectures in Group Representation Theory, with particular emphasis on the McKay Conjecture.

Updated on Jan 13, 2015 12:51 PM PST
43. # Summer Graduate SchoolElectronic Structure Theory

Organizers: LEAD Lin Lin (University of California, Berkeley), Jianfeng Lu (Duke University), James Sethian (University of California, Berkeley)

Ab initio or first principle electronic structure theories, particularly represented by Kohn-Sham density functional theory (KS-DFT), have been developed into workhorse tools with a wide range of scientific applications in chemistry, physics, materials science, biology etc. What is needed are new techniques that greatly extend the applicability and versatility of these approaches. At the core, many of the challenges that need to be addressed are essentially mathematical. The purpose of the workshop is to provide graduate students a self-contained introduction to electronic structure theory, with particular emphasis on frontier topics in aspects of applied analysis and numerical methods.

Updated on Jul 15, 2015 03:30 PM PDT
44. # Summer Graduate SchoolChip Firing and Tropical Curves

Organizers: LEAD Matthew Baker (Georgia Institute of Technology), Melody Chan (Harvard University), Sam Payne (Yale University)

Tropical geometry uses a combination of techniques from algebraic geometry, combinatorics, and convex polyhedral geometry to study degenerations of algebraic varieties; the simplest tropical objects are tropical curves, which one can think of as "shadows" of algebraic curves.  Linear equivalence of divisors on an abstract tropical curve is determined by a simple but rich combinatorial process called "chip firing", which was discovered independently in the discrete setting by physicists and graph theorists.  From a pedagogical point of view, one can view tropical curves as a combinatorial model for the highly analogous but more abstract theory of algebraic curves, but there is in fact much more to the story than this: one can use tropical curves and chip firing to prove theorems in algebraic geometry and number theory.  This field is relatively new, so participants will have the opportunity to start from scratch and still get a glimpse of the cutting edge in this active research area.

Updated on Jan 13, 2015 12:40 PM PST
45. # ProgramGeometric Group Theory

Organizers: Ian Agol (University of California, Berkeley), Mladen Bestvina (University of Utah), Cornelia Drutu (University of Oxford), LEAD Mark Feighn (Rutgers University), Michah Sageev (Technion---Israel Institute of Technology), Karen Vogtmann (Cornell University)

The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms problems from diverse areas of mathematics and then solving them with a variety of tools. The growing list of areas where this general approach has been successful includes low-dimensional topology, the theory of manifolds, algebraic topology, complex dynamics, combinatorial group theory, algebra, logic, the study of various classical families of groups, Riemannian geometry and representation theory.

The goals of this MSRI program are to bring together people from the various branches of the field in order to consolidate recent progress, chart new directions, and train the next generation of geometric group theorists.

Updated on Jul 15, 2015 10:57 AM PDT
46. # WorkshopConnections for Women: Geometric Group Theory

Organizers: LEAD Ruth Charney (Brandeis University), Indira Chatterji (Université de Nice Sophia Antipolis), Mark Feighn (Rutgers University), Talia Fernos (University of North Carolina)

This three-day workshop will feature talks by six prominent female mathematicians on a wide range of topics in geometric group theory.  Each speaker will give two lectures, separated by a break-out session during which participants will meet in small groups to discuss ideas presented in the first lecture.   The workshop is open to all mathematicians.

Updated on Nov 08, 2014 10:27 AM PST
47. # WorkshopIntroductory Workshop: Geometric Group Theory

Organizers: Martin Bridson (University of Oxford), Benson Farb (University of Chicago), LEAD Zlil Sela (Hebrew University), Karen Vogtmann (Cornell University)

This will be an introductory workshop to the MSRI jumbo program Geometric Group Theory being held during the Fall Semester of 2016. The purpose of the workshop is to provide an overview of key areas of research to be covered in the program, including an introduction to open problems of current interest.

Updated on Jul 27, 2015 03:36 PM PDT
48. # WorkshopGroups acting on CAT(0) spaces

Organizers: Ian Agol (University of California, Berkeley), Pierre-Emmanuel Caprace (Université Catholique de Louvain), Koji Fujiwara (Kyoto University), Alessandra Iozzi (ETHZ), LEAD Michah Sageev (Technion---Israel Institute of Technology)

The theme of the workshop is algebraic, geometric and analytical aspects of groups that act by isometries on spaces of non-positive curvature known as CAT(0) spaces. The world of CAT(0) spaces includes classical spaces such as symmetric spaces and buildings, as well as more avant-garde arrivals, such as CAT(0) cube complex. The workshop will bring together researchers studying various aspects of such groups and spaces to discuss recent developments and chart new directions in the field.

Updated on Aug 14, 2015 01:41 PM PDT
49. # WorkshopGeometry of mapping class groups and Out(Fn)

Organizers: Yael Algom Kfir (University of Haifa), LEAD Mladen Bestvina (University of Utah), Richard Canary (University of Michigan), Gilbert Levitt (Université de Caen)

A four-day workshop with research-level talks on the latest advances in the geometry of mapping class groups and Out(F_n), and spaces on which they act.

Updated on Aug 17, 2015 11:44 AM PDT
50. # WorkshopAmenability, coarse embeddability and fixed point properties

Organizers: Goulnara Arzhantseva (Université de Genève), LEAD Cornelia Drutu (University of Oxford), Graham Niblo (University of Southampton), Piotr Nowak (Polish Academy of Sciences)

The main theme of the workshop is the spectrum of analytic properties running from Kazhdan's property (T) at one end to von Neumann's amenability at the other, that forms a foundational organizing structure for infinite groups and spaces. These properties can be described both analytically, via unitary representation theory, and geometrically, using embedding properties for discrete spaces. Connections with probability and combinatorics will likewise be addressed during the meeting.

Updated on Sep 01, 2015 06:05 PM PDT
51. # ProgramHarmonic Analysis

Organizers: LEAD Michael Christ (University of California, Berkeley), Allan Greenleaf (University of Rochester), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

The field of Harmonic Analysis dates back to the 19th century, and has its roots in the study of the decomposition of functions using Fourier series and the Fourier transform.  In recent decades, the subject has undergone a rapid diversification and expansion, though the decomposition of functions and operators into simpler parts remains a central tool and theme.

This program will bring together researchers representing the breadth of modern Harmonic Analysis and will seek to capitalize on and continue recent progress in four major directions:
-Restriction, Kakeya, and Geometric Incidence Problems
-Analysis on Nonhomogeneous Spaces
-Weighted Norm Inequalities
-Quantitative Rectifiability and Elliptic PDE.
Many of these areas draw techniques from or have applications to other fields of mathematics, such as analytic number theory, partial differential equations, combinatorics, and geometric measure theory.  In particular, we expect a lively interaction with the concurrent program.

Updated on Jun 08, 2015 04:00 PM PDT
52. # ProgramAnalytic Number Theory

Organizers: Chantal David (Concordia University), Andrew Granville (Université de Montréal), Emmanuel Kowalski (Eidgenössische TH Zürich-Hönggerberg), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL)), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

Analytic number theory, and its applications and interactions, are currently experiencing intensive progress, in sometimes unexpected directions. In recent years, many important classical questions have seen spectacular advances based on new techniques; conversely, methods developed in analytic number theory have led to the solution of striking problems in other fields.

This program will not only give the leading researchers in the area further opportunities to work together, but more importantly give young people the occasion to learn about these topics, and to give them the tools to achieve the next breakthroughs.

Updated on Jul 10, 2015 03:54 PM PDT
53. # WorkshopConnections for Women: Harmonic Analysis

Organizers: Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison)

Updated on Aug 17, 2015 11:48 AM PDT
54. # WorkshopIntroductory Workshop: Harmonic Analysis

Organizers: Allan Greenleaf (University of Rochester), Steven Hofmann (University of Missouri), Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of Wisconsin-Madison)

Updated on Aug 17, 2015 12:02 PM PDT
55. # WorkshopRecent Developments in Harmonic Analysis

Organizers: Michael Christ (University of California, Berkeley), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Brian Street (University of Wisconsin-Madison)

Topics for this workshop will be drawn from the main research directions of this conference, including:
(1) Restriction, Kakeya, and geometric incidence problems
(2) Analysis on nonhomogenous spaces
(3) Weighted estimates
(4) Quantitative rectifiability and other topics in PDE

Updated on Sep 01, 2015 05:01 PM PDT
56. # MSRI-UPMSRI-UP 2017

Organizers: LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Mercedes Franco (Queensborough Community College (CUNY)), Herbert Medina (Loyola Marymount University), Suzanne Weekes (Worcester Polytechnic Institute)

The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2017 program will be led by Prof. Jesús De Loera from University of California, Davis.

Updated on Sep 01, 2015 05:47 PM PDT
57. # ProgramGeometric Functional Analysis and Applications

Organizers: Franck Barthe (Universite Paul Sabatier--Toulouse III), Marianna Csornyei (University of Chicago), Boaz Klartag (Tel Aviv University), Alexander Koldobsky (University of Missouri), Rafal Latala (University of Warsaw), LEAD Mark Rudelson (University of Michigan)

Geometric functional analysis lies at the interface of convex geometry, functional analysis and probability. It has numerous applications ranging from geometry of numbers and random matrices in pure mathematics to geometric tomography and signal processing in engineering and numerical optimization and learning theory in computer science.

One of the directions of the program is classical convex geometry, with emphasis on connections with geometric tomography, the study of geometric properties of convex bodies based on information about their sections and projections. Methods of harmonic analysis play an important role here. A closely related direction is asymptotic geometric analysis studying geometric properties of high dimensional objects and normed spaces, especially asymptotics of their quantitative parameters as dimension tends to infinity. The main tools here are concentration of measure and related probabilistic results. Ideas developed in geometric functional analysis have led to progress in several areas of applied mathematics and computer science, including compressed sensing and random matrix methods. These applications as well as the problems coming from computer science will be also emphasised in our program.

Updated on Jun 02, 2015 01:17 PM PDT
58. # ProgramGeometric and Topological Combinatorics

Organizers: Vic Reiner (University of Minnesota Twin Cities), LEAD Francisco Santos (University of Cantabria), Francis Su (Harvey Mudd College), Rekha Thomas (University of Washington), Gunter Ziegler (Freie Universität Berlin), Jesus de Loera (University of California, Davis)

Updated on Sep 01, 2015 05:11 PM PDT
59. # ProgramGroup Representation Theory and Applications

Organizers: Robert Guralnick (University of Southern California), Alexander (Sasha) Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), Julia Pevtsova (University of Washington), Raphael Rouquier (University of California, Los Angeles), LEAD Pham Tiep (University of Arizona)

Group Representation Theory is a central area of Algebra, with important and deep connections to areas as varied as topology, algebraic geometry, number theory, Lie theory, homological algebra, and mathematical physics. Born more than a century ago, the area still abounds with basic problems and fundamental conjectures, some of which have been open for over five decades. Very recent breakthroughs have led to the hope that some of these conjectures can finally be settled. In turn, recent results in group representation theory have helped achieve substantial progress in a vast number of applications.

The goal of the program is to investigate all these deep problems and the wealth of new results and directions, to obtain major progress in the area, and to explore further applications of group representation theory to other branches of mathematics.

Updated on Apr 10, 2015 02:52 PM PDT
60. # ProgramEnumerative Geometry Beyond Numbers

Organizers: Mina Aganagic (University of California, Berkeley), Denis Auroux (University of California, Berkeley), Jim Bryan, LEAD Andrei Okounkov (Columbia University), Balazs Szendroi

Updated on Jul 27, 2015 05:21 PM PDT

1. # SeminarPierre Raphael Course (UCB) - On singularity formation in nonlinear PDE’s: a constructive approach

Updated on Aug 27, 2015 01:46 PM PDT
2. # WorkshopIntroductory Workshop: Randomness and long time dynamics in nonlinear evolution differential equations

Organizers: Kay Kirkpatrick (University of Illinois at Urbana-Champaign), LEAD Yvan Martel (École Polytechnique), LEAD Luc Rey-Bellet (University of Massachusetts, Amherst), Gigliola Staffilani (Massachusetts Institute of Technology)

The purpose of the program New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems is to bring together a core group of mathematicians from the dispersive PDE and the SPDE communities whose research contains an underlying and unifying problem:  analyzing high or infinite dimensional dynamics, where dynamics is understood in a broad sense and arising from the flows generated by either deterministic or stochastic partial differential equations, or from dynamical evolution of large physical systems.

The introductory workshop will serve as an overview to the program.  It aims at familiarizing graduate students, postdocs, and other researchers to the major topics of the program through short courses and discussions.

Updated on Aug 31, 2015 02:42 PM PDT
3. # WorkshopConnections for Women: Dispersive and Stochastic PDE

Organizers: LEAD Kay Kirkpatrick (University of Illinois at Urbana-Champaign), Andrea Nahmod (University of Massachusetts, Amherst)

This workshop will consist of various talks given by prominent female mathematicians whose research lies in and interfaces with the fields of nonlinear evolution dispersive PDE, wave phenomena and stochastic processes.  These talks will be appropriate for graduate students, post-docs, and researchers in areas above mentioned.  The workshop will allocate ample time for group discussions and will include a professional development session.

This workshop is open to all mathematicians.

Updated on Aug 26, 2015 01:50 PM PDT
4. # Summer Graduate SchoolIncompressible Fluid Flows at High Reynolds Number

The purpose of this two week workshop is to introduce graduate students to state-of-the-art methods and results in mathematical fluid dynamics. In the first week, we will discuss the mathematical foundations and modern analysis aspects of the Navier-Stokes and Euler equations. In the second week, we will run two courses concurrently on the topics of inviscid limits and hydrodynamic stability. Specifically, one course will focus on boundary layers in high Reynolds number flows and the Prandtl equations while the other will focus on mixing and connections to turbulence. Through the lectures and associated problem sessions, the students will learn about a number of new analysis tools and principles of fluid mechanics that are not always taught in a graduate school curriculum.

Updated on Aug 31, 2015 11:47 AM PDT
5. # SeminarMSRI-UP Final Presentations: Geometric Combinatorics motivated by the Social Sciences

Created on Jun 18, 2015 09:12 AM PDT
6. # SeminarMSRI-UP Colloquium: Viscosity Solution Methods and the Problem of Ruin

Updated on Jul 14, 2015 11:11 AM PDT
7. # Summer Graduate SchoolGaps between Primes and Analytic Number Theory

Organizers: Dimitris Koukoulopoulos (Université de Montréal), LEAD Emmanuel Kowalski (Eidgenössische TH Zürich-Hönggerberg), James Maynard (University of Oxford), Kannan Soundararajan (Stanford University)

These courses will give students a full overview of the results of Zhang and Maynard on gaps between primes, and will provide them will a clear understanding of the tools involved. This will make accessible a significant part of modern analytic number theory. The lecturers will also make sure to include, within their course, examples and discussions going further than is strictly required to understand the proofs of Zhang and Maynard, e.g., in the direction of automorphic forms and the Riemann Hypothesis over finite fields.

Updated on Jul 28, 2015 02:49 PM PDT
8. # SeminarMSRI-UP Colloquium: Tangents to Sigma-finite Curves

Created on Jun 18, 2015 09:08 AM PDT
9. # Summer Graduate SchoolBerkeley summer course in mining and modeling of neuroscience data

Organizers: Ingrid Daubechies (Duke University), Bruno Olshausen (University of California, Berkeley), Christos Papadimitriou (University of California, Berkeley), Fritz Sommer (University of California, Berkeley), LEAD Jeff Teeters (University of California, Berkeley)

This course is for students and researchers with backgrounds in mathematics and computational sciences who are
interested in applying their skills toward problems in neuroscience. It will introduce the major open questions of
neuroscience and teach state-of–the-art techniques for analyzing and modeling neuroscience data sets. The course is designed for students at the graduate level and researchers with background in a quantitative field such as
engineering, mathematics, physics or computer science who may or may not have a specific neuroscience
background. The goal of this summer course is to help researchers find new exciting research areas and at the same time to strengthen quantitative expertise in the field of neuroscience. The course is sponsored by the National Science Foundation from a grant supporting activities at the data sharing repository CRCNS.org, the Helen Wills
Neuroscience Institute, the Simons Institute for the Theory of Computing and the Mathematical Science Research
Institute.

Updated on Feb 23, 2015 03:59 PM PST
10. # SeminarMSRI-UP Colloquium: Moving Robots Efficiently using the Combinatorics of CAT(0) Cube Complexes

Created on Jun 18, 2015 09:07 AM PDT
11. # Summer Graduate SchoolNIMS Summer School on Random Matrix Theory

Organizers: LEAD Jinho Baik (University of Michigan)

This summer graduate school will take place at the National Institute for Mathematical Sciences in Daejeon, South Korea.  The purpose of this summer school is to introduce some of the basic ideas and methods of random matrix theory to graduate students.  In particular there will be three lecture series on random matrix theory from three different perspectives: from the view points of the integrable structures, the moment method, and the Stieltjes transorm technique.  In addition to the lectures, there will be discussion sessions, and the students will also have plenty of time to interact with the lecturers and with other students.

Please note that accepted students will be provided up to \$1700 in travel reimbursement, in addition to meals and accommodation.

Updated on Nov 20, 2014 12:02 PM PST
12. # Summer Graduate SchoolMathematical Topics in Systems Biology

Organizers: LEAD Steven Altschuler (University of California, San Francisco), Lani Wu (UCSF)

This Summer Graduate School will introduce mathematics graduate students to the rapidly emerging area of systems biology. In particular, we will focus on the design and emergent behaviors of molecular networks used by cells to interpret their environments and create robust temporal-spatial behaviors. This will be a very hands-on workshop with students working alone and in teams to program and present key ideas.

Updated on Jun 03, 2015 12:21 PM PDT
13. # SeminarMSRI-UP Colloquium: Statistical Image Analysis for the Study of Multiple Sclerosis

Created on Jun 18, 2015 09:06 AM PDT
14. # SeminarMSRI-UP Colloquium: Hurricane Storm Surge Modeling for Risk Analysis

Created on Jun 18, 2015 09:00 AM PDT
15. # Summer Graduate SchoolSeminaire de Mathematiques Superieures 2015: Geometric and Computational Spectral Theory

Organizers: Alexandre Girouard (Laval University), Dmitry Jakobson (McGill University), Michael Levitin (University of Reading), Nilima Nigam (Simon Fraser University), Iosif Polterovich (Université de Montréal), Frederic Rochon (Université du Québec à Montréal)

The lectures will focus on the following four topics: geometry of eigenvalues, geometry of eigenfunctions, spectral theory on manifolds with singularities and computational spectral theory. There has been a number of remarkable recent developments in these closely related fields. The goal of the school is to shed light on different facets of modern spectral theory and to provide a unique opportunity for graduate students and young researchers to get a “big picture” of this rapidly evolving area of mathematics. A particularly novel aspect of the school is the emphasis on the interactions between spectral geometry and computational spectral theory.

Updated on Jan 28, 2015 10:59 AM PST
16. # Summer Graduate SchoolCRM-PIMS Summer School in Probability

Organizers: LEAD Louigi Addario-Berry (McGill University), Omer Angel, Louis-Pierre Arguin, Martin Barlow, Edwin Perkins, Lea Popovic (Concordia University)

The 2015 CRM-PIMS Summer School in Probability will take place in Montreal, Canada, from June 15-July 11, 2015. The school is built around two principal 24-hour lecture courses, which will be delivered by Alice Guionnet (random matrices, free probability and the enumeration of maps) and Remco van der Hofstad (high-dimensional percolation and random graphs). There will additionally be mini-courses by Louigi Addario-Berry (random minimum spanning trees), Shankar Bhamidi (dynamic random network models) and Jonathan Mattingly (stabilization by noise). Some time is reserved for participants to present their own work.

Updated on Nov 03, 2014 09:28 AM PST
17. # Summer Graduate SchoolGeometric Group Theory

Organizers: LEAD John Mackay (University of Bristol), Anne Thomas (University of Glasgow), Kevin Wortman (University of Utah)

The aim of this workshop is to introduce graduate students to some specific core topics which will be under study at the upcoming MSRI program on Geometric Group Theory (GGT) in 2016.  GGT encompasses a wide range of topics. The four minicourse topics have been chosen because they are central themes in GGT and in the upcoming MSRI program. Moreover, each topic is accessible to students with a range of backgrounds: the basic definitions are straightforward, with many simple and illuminating examples to work through, yet lead through to important questions in current research.

Updated on Jul 06, 2015 03:14 PM PDT
18. # ProgramSummer Research

Come spend time at MSRI in the summer! The Institute’s summer graduate schools and undergraduate program fill the lecture halls and some of the offices, but we have room for a modest number of visitors to come to do research singly or in small groups, while enjoying the excellent mathematical facilities, the great cultural opportunities of Berkeley, San Francisco and the Bay area, the gorgeous natural surroundings, and the cool weather.

We can provide offices, library facilities and bus passes—unfortunately not financial support. Though the auditoria are largely occupied, there are blackboards and ends of halls, so 2-6 people could comfortably collaborate with one another. We especially encourage such groups to apply together.

To make visits productive, we require at least a two-week commitment.  We strive for a wide mix of people, being sure to give special consideration to women, under-represented groups, and researchers from non-research universities.

Updated on May 06, 2015 11:36 AM PDT
19. # MSRI-UPMSRI-UP 2015: Geometric Combinatorics Motivated by the Social Sciences

Organizers: Federico Ardila (San Francisco State University), LEAD Duane Cooper (Morehouse College), Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Suzanne Weekes (Worcester Polytechnic Institute)

The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2015 program will be led by Prof. Francis Su from Harvey Mudd College.

Updated on Jul 27, 2015 01:57 PM PDT
20. # WorkshopPartnerships: a Workshop on Collaborations between the NSF/MPS and Private Foundations

Organizers: Cynthia Atherton (Heising-Simons Foundation), Paulette Clancy (Cornell University), LEAD David Eisenbud (MSRI - Mathematical Sciences Research Institute), Thomas Everhart (California Institute of Technology), Caty Pilachowski (Indiana University, Bloomington), Robert Shelton (Research Corporation for Science Advancement), Yuri Tschinkel (New York University, Courant Institute)

The National Science Foundation (NSF) and non-profit organizations each provide critical support to the U.S. basic research enterprise in the mathematical and physical sciences. While the missions of these funders differ, many of their goals align and the grantee communities have significant overlap. With the ultimate aim of helping to advance the scientific frontier in the most effective way, we propose to hold a workshop to examine partnerships between the Directorate of Mathematical and Physical Sciences (MPS) at NSF and non-profit funders in MPS-related disciplines to
•       understand different models of collaboration (the “how”);
•       understand different motivations for collaboration (the “why”); and
•       develop opportunities for future communication and/or collaboration.

Updated on May 20, 2015 01:38 PM PDT
21. # SeminarOpen ended seminar: Quasi-isometric embeddings of higher rank lattices

Updated on May 15, 2015 11:29 AM PDT
22. # SeminarGAAHD Research Seminar: Closures of locally divergent orbits and applications

Updated on May 15, 2015 11:26 AM PDT
23. # SeminarDMS Research Seminar: Higgs bundles at the Fuchsian locus

Updated on May 11, 2015 11:12 AM PDT
24. # WorkshopAdvances in Homogeneous Dynamics

Organizers: LEAD Dmitry Kleinbock (Brandeis University), Hee Oh (Yale University), Alireza Salehi Golsefidy (University of California, San Diego), Ralf Spatzier (University of Michigan)

The Advances in Homogeneous Dynamics workshop will feature the speakers whose work is at the forefront of the field. There will be a panel discussion accompanied by an open problem session to lay out possible directions for the research in homogeneous dynamics. Talks will be in a broad range of topics and this will help to build more connections between researchers interested in dynamical systems, number theory and geometry. For example we hope that the involvement of the participants of the other program held at MSRI during the same academic year (Dynamics on Moduli Spaces of Geometric Structures, Spring 2015) would create new connections between the topics. There will be shorter talks presented by early-career researchers

Updated on Jun 02, 2015 09:19 AM PDT
25. # SeminarFibonacci Plays Billiards with Dr. Elwyn Berlekamp

Created on Apr 30, 2015 09:42 AM PDT
26. # SeminarGAAHD Postdoc Seminar: Diophantine approximation in Lie groups

Updated on May 01, 2015 12:21 PM PDT
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